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- Title
Characterisations of generalized polygons and opposition in rank 2 twin buildings.
- Authors
Abramenko, Peter; Van Maldeghem, Hendrik
- Abstract
In this paper, we characterize the natural opposition relation on the set of flags of a generalized polygon. We also investigate when a certain relation on any rank 2 geometry of finite diameter is equivalent to the opposition relation in a generalized polygon. As a consequence we obtain a new definition of generalized polygons. Finally, we also characterize the opposition relation in twin trees, which are the analogues of polygons with infinite diameter.
- Subjects
POLYGONS; SPHERICAL buildings
- Publication
Journal of Geometry, 2002, Vol 74, Issue 1/2, p7
- ISSN
0047-2468
- Publication type
Article
- DOI
10.1007/PL00012539